Question

Help please, it’s for average rate of change.

Answer 1

Answer in fraction form = -3/2

Answer in decimal form = -1.5

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Work Shown:

`m = (g(b)-g(a))/(b-a)\\\\m = (g(1)-g(-3))/(1-(-3))\\\\m = (0-6)/(1-(-3))\\\\m = (0-6)/(1+3)\\\\m = (-6)/(4)\\\\m = -(3)/(2)\\\\m = -1.5\\\\`

Effectively, we're finding the slope through the points (-3, 6) and (1, 0)

The g(b)-g(a) represents how y changes when going from x = a to x = b.